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LCM of 954, 677, 638, 898, 750

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 954, 677, 638, 898, 750 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 954, 677, 638, 898, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 954,677,638,898,750

Given numbers are 954,677,638,898,750

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 954,677,638,898,750 is 11563360899750.

Find LCM of 954,677,638,898,750 with Prime Factorization


2 954, 677, 638, 898, 750
3 477, 677, 319, 449, 375
159, 677, 319, 449, 125

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 159 x 677 x 319 x 449 x 125 = 11563360899750

Therefore, the lowest common multiple of 954,677,638,898,750 is 11563360899750.

LCM Formula to Find Lowest Common Multiple of 954,677,638,898,750

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

954 x 677 x 638 x 898 x 750 = 277520661594000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

677 : 1, 677

638 : 1, 2, 11, 22, 29, 58, 319, 638

898 : 1, 2, 449, 898

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,677,638,898,750, is 1.

Now, the common factors can be found like this.

954:2x 3x 3x 53

677:677

638:2x 11x 29

898:2x 449

750:2x 3x 5x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 277520661594000/(1x24)

LCM = 277520661594000/24

LCM = 11563360899750

Thus, we can understand that the LCM of 954,677,638,898,750 is 11563360899750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 954, 677, 638, 898, 750

1. What is the LCM of 954, 677, 638, 898, 750?

Answer: LCM of 954, 677, 638, 898, 750 is 11563360899750.

2. How to calculate the LCM of 954, 677, 638, 898, 750?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 954, 677, 638, 898, 750.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.